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Finding the Fourth Proportional to 6,381.79, 9,571.92 and 1,702.15

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Solution

The fourth proportional to 6,381.79, 9,571.92 and 1,702.15 is: 2,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.79 : 9,571.92 = 1,702.15 : x
  2. Step 2: Convert to fraction form
    6,381.79/9,571.92 = 1,702.15/x
  3. Step 3: Cross multiply
    6,381.79x = 9,571.92 × 1,702.15
  4. Step 4: Simplify right side
    6,381.79x = 16,292,843.63
  5. Step 5: Solve for x
    x = 16,292,843.63/6,381.79
  6. Step 6: Final answer
    x = 2,553.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.